Harmonic analysis has been an efficient tool in control theory for a long time, see, e.g., Russell [D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20 (1978) 639-739] and its numerous references, Here we establish discrete Ingham type and Haraux type inequalities for exponential SLIMS satisfying a weakened gal) condition. They enable Lis to obtain discrete simultaneous observability theorems for systems of vibrating strings or beams. (c) 2008 Elsevier Inc. All rights reserved.

Discrete Ingham type inequalities and simultaneous observability of strings or beams / Vilmos, Komornik; Loreti, Paola. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 351:1(2009), pp. 16-28. [10.1016/j.jmaa.2008.09.027]

Discrete Ingham type inequalities and simultaneous observability of strings or beams

LORETI, Paola
2009

Abstract

Harmonic analysis has been an efficient tool in control theory for a long time, see, e.g., Russell [D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20 (1978) 639-739] and its numerous references, Here we establish discrete Ingham type and Haraux type inequalities for exponential SLIMS satisfying a weakened gal) condition. They enable Lis to obtain discrete simultaneous observability theorems for systems of vibrating strings or beams. (c) 2008 Elsevier Inc. All rights reserved.
2009
beams; fourier series; observability; strings
01 Pubblicazione su rivista::01a Articolo in rivista
Discrete Ingham type inequalities and simultaneous observability of strings or beams / Vilmos, Komornik; Loreti, Paola. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 351:1(2009), pp. 16-28. [10.1016/j.jmaa.2008.09.027]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/13880
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